How to count molecules and determine density, partial pressure and total pressure?

In summary, the conversation discusses how to count molecules and determine the density, partial pressure, and total pressure for three identical boxes containing different mixtures of O2 and N2. The samples have the same temperature and volume, and the ranking for each factor is as follows: for total pressure, box #1 has the highest pressure, followed by box #2 and then box #3; for partial pressure of nitrogen, box #1 has the highest pressure, followed by box #3 and then box #2; and for density, box #1 has the highest density, followed by box #2 and then box #3.
  • #1
chemistry4all
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How to count molecules and determine density, partial pressure and total pressure?

Homework Statement



Consider three identical boxes each containing a different mixture of O2 and N2. In box #1 are 3 molecules of O2 and 7 molecules of N2. In box #2 are 1 molecule of O2 and 2 molecules of N2. In box #3 are 10 molecules of O2 and 3 molecules of N2. If temperature and volume for all three samples are the same, rank them (use "less than," "greater than," or equal symbols; 1< 2 < 3 or 2 > 1 = 3 with respect to:

a) total pressure

b)partial pressure of nitrogen

c)density


Homework Equations



My attempt is according to counting the number of molecules is

a) total pressure is 2 < 1 < 3

b) partial pressure is 2 < 3 < 1

c)density is 2 < 1 < 3

I want to just make sure and compare with someone if I am correct and if not please explain how to determine this thank you.

The Attempt at a Solution

 
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  • #2
Looks right.
 

1. How do you count molecules?

Molecules can be counted using a variety of methods such as spectrophotometry, mass spectrometry, and gas chromatography. Each method involves measuring the amount of a specific molecule in a sample and using mathematical calculations to determine the total number of molecules present.

2. What is density and how is it determined?

Density is the measure of how much mass is contained in a given volume of a substance. It is determined by dividing the mass of a substance by its volume. For example, the density of a gas can be determined by measuring its mass and volume in a closed container and using the ideal gas law to calculate the density.

3. How do you calculate partial pressure?

Partial pressure is the pressure exerted by a specific gas in a mixture of gases. It can be calculated by multiplying the total pressure of the gas mixture by the mole fraction of the specific gas. The mole fraction is determined by dividing the number of moles of the specific gas by the total number of moles of all gases in the mixture.

4. What factors affect total pressure?

Total pressure is affected by the number of molecules present and the temperature of the gas. As the number of molecules increases, the total pressure also increases. Additionally, as the temperature of the gas increases, the molecules move faster and collide more frequently with the walls of the container, resulting in an increase in total pressure.

5. How does the ideal gas law relate to counting molecules and determining pressure?

The ideal gas law (PV = nRT) relates the variables of pressure (P), volume (V), number of moles (n), and temperature (T) of a gas. Using this equation, the number of moles of a gas can be calculated, which can then be used to determine the number of molecules present. Additionally, the ideal gas law can be used to calculate the pressure of a gas based on its volume, temperature, and number of moles.

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